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Any quaternion Kählerian manifold of dimension $\geq 8$ is an Einstein space?

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#differential-geometry #riemannian-geometry #quaternions #kahler-manifolds
37
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Matrix Groups: Quaternion Algebra

Published on
#analysis #quaternions
307
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Indecomposable groups

Published on
#group-theory #quaternions
208
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Is the product of two Guassian quaternions a Gaussian quaternion?

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#random-variables #normal-distribution #quaternions
1.1k
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Random Rotation matrix

Published on
#matrices #matlab #rotations #quaternions
279
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How to "see" the 2 dimensional representation of the unit Quaternions without using the identification with $SU(2)$?

Published on
#representation-theory #lie-groups #quaternions
168
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matrix representation of pure quaternion

Published on
#geometry #differential-geometry #analytic-geometry #quaternions
12k
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Converting from quaternion to angular velocity then back to quaternion

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#integration #quaternions #change-of-basis
56
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The dimension of a $\mathbb{R}$-algebra

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#linear-algebra #matrices #matrix-calculus #quaternions
324
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Embedding from a rational Hamilton quaternion algebra into $M(2,\mathbb{R})$

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#matrices #representation-theory #quaternions
97
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Is this product of 8 quaternions a real value?

Published on
#abstract-algebra #quaternions #clifford-algebras
438
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Is my paper on a number system that allows arithmetic on 3D vectors useful?

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#abstract-algebra #rotations #quaternions #division-algebras
631
Views

Converting quaternion to euler without losing information.

Published on
#quaternions #angle #orientation
69
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Non-determinantal positive-definiteness conditions for $4 \times 4$ Hermitian matrices with certain null entries

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#linear-algebra #matrices #complex-numbers #determinant #quaternions
885
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Isomorphism of Real Quaternions and Complex Matrix

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#abstract-algebra #matrices #ring-theory #quaternions

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